A note on energy conservation for Hamiltonian systems using continuous time finite elements

DOI10.1002/cnm.458zbMath0994.65136OpenAlexW2004519028MaRDI QIDQ2781031

Peter Hansbo

Publication date: 10 October 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.458

zbMATH Keywords

continuous Galerkin methodenergy conservationnonlinear Hamiltonian problemstime finite elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Cites Work

• Unnamed Item
• Continuous finite element methods which preserve energy properties for nonlinear problems
• Inherently energy conserving time finite elements for classical mechanics
• Conservative numerical methods for \(\ddot x=f(x)\)
• Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy

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